Michael Cavers

Michael Cavers

Positions

Adjunct Professor

Faculty of Science , Department of Mathematics and Statistics

Contact information

Email

mcavers@ucalgary.ca

Web presence

Website

Phone number

Office: +1 (403) 220-6305

Background

Educational Background

PhD Spectral Graph Theory, University of Regina, 2010

MMath Graph Theory, University of Waterloo, 2005

BSc Honours Mathematics, McMaster University, 2004

Research

Areas of Research

Combinatorics, Graph theory, Discrete mathematics, Markov chain Monte Carlo and related simulation methods, Mathematical geophysics, Mathematics education, Linear algebra

More Information

Publications

Journal article

  • Cavers, Michael and Seyffarth, Karen. "Graphs with large distinguishing chromatic number". Electronic Journal of Combinatorics 20.1 (2013): #P19 (17 p.). Print.

Journal articles - non-peer reviewed

  • Cavers, Michael and Vasudevan, Kris. "An Application of Markov Chains in Seismology". IMAGE - The Bulletin of the International Linear Algebra Society (ILAS) 51.Fall (2013): 13--18. Print.

Journal articles - peer reviewed

  • Cavers, Michael and Vasudevan, Kris. "Spatio-Temporal Complex Markov Chain (SCMC) Model using directed graphs: Earthquake sequencing". Pure and Applied Geophysics, (2014): 1--17. Print.
  • Cavers, Michael, C. Garnett, I-J Kim, D. Olesky, P. van den Driessche and K. Vander Meulen. "Techniques for identifying inertially arbitrary patterns". Electronic Journal of Linear Algebra 26. (2013): 71--89. Print.
  • B. Ahmadi, F. Alinagipour, Cavers, Michael, S. Fallat, K. Meagher and S. Nasserasr. "Minimum number of distinct eigenvalues of graphs". Electronic Journal of Linear Algebra 26. (2013): 673--691. Print.
  • Cavers, Michael and S. Fallat. "Allow problems concerning spectral properties of patterns". Electronic Journal of Linear Algebra 23. (2012): 731--754. Print.
  • Cavers, Michael, S. Cioaba, S. Fallat, D. Gregory, W. Haemers, S. Kirkland, J. McDonald and M. Tsatsomeros. "Skew-adjacency matrices of graphs". Linear Algebra and its Applications 436. (2012): 4512--4529. Print.
  • R. Bailey, A. Burgess, Cavers, Michael and K. Meagher. "Generalized covering designs and clique coverings". Journal of Combinatorial Designs 19.5 (2011): 378--406. Print.
  • Cavers, Michael. "On reducible matrix patterns". Linear and Multilinear Algebra 58.2 (2010): 257--267. Print.
  • Cavers, Michael, S. Fallat and S. Kirkland. "On the normalized Laplacian energy and general Randic index R-1 of graphs". Linear Algebra and its Applications 433.1 (2010): 172--190. Print.
  • Cavers, Michael, K. Vander Meulen and L. Vanderspek. "Sparse inertially arbitrary patterns". Linear Algebra and its Applications 431.11 (2009): 2024--2034. Print.
  • Cavers, Michael and J. Verstraëte. "Clique partitions of complements of forests and bounded degree graphs". Discrete Mathematics 308.10 (2008): 2011--2017. Print.
  • Cavers, Michael, R. Elzinga, D. Gregory, S. Vanderlinde and K. Vander Meulen. "Clique partitions of distance multigraphs". Discrete Mathematics 308.15 (2008): 3230--3240. Print.
  • Cavers, Michael and K. Vander Meulen. "Inertially arbitrary nonzero patterns of order 4". Electronic Journal of Linear Algebra 16. (2007): 30--43. Print.
  • Cavers, Michael, I-J. Kim, B. Shader and K. Vander Meulen. "On determining minimal spectrally arbitrary patterns". Electronic Journal of Linear Algebra 13. (2005): 240--248. Print.
  • Cavers, Michael and K. Vander Meulen. "Spectrally and inertially arbitrary sign patterns". Linear Algebra and its Applications 394. (2005): 53--72. Print.

Master's thesis

  • Cavers, Michael. Clique partitions and coverings of graphs 2005.

PhD thesis

  • Cavers, Michael. The normalized Laplacian matrix and general Randic index of graphs 2010.